Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
History of algebra wikipedia , lookup
Polynomial greatest common divisor wikipedia , lookup
Bra–ket notation wikipedia , lookup
Eisenstein's criterion wikipedia , lookup
Invariant convex cone wikipedia , lookup
Factorization of polynomials over finite fields wikipedia , lookup
Factorization wikipedia , lookup
Complexification (Lie group) wikipedia , lookup
Algebra 1: Arithmetic with Polynomials and Rational Expressions – A-APR ELG.MA.HS.A.3: Perform arithmetic operations on polynomials. A-APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. The Complex Number System – N-CN ELG.MA.HS.N.4: Perform arithmetic operations with complex numbers. N-CN.A.3 (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers. Algebra 2: The Complex Number System – N-CN ELG.MA.HS.N.4: Perform arithmetic operations with complex numbers. N-CN.A.1 Know there is a complex number i such that i2 = –1, and every complex number has the form a + bi with a and b real. N-CN.A.2 Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. Students will demonstrate command of the ELG by: Finding the conjugate of a given a complex number. Given a complex number division, expressing the result as a complex number of the form a+bi. Vocabulary: Complex number Conjugate Moduli Polar form Quotient Sample Assessment Questions: 1) Standard(s): N-CN.A.3 Source: Pamela Parella Item Prompt: Find the complex conjugate of 𝑧1 = 2𝑖 + 3 Correct Answer: 𝑧1 = −2𝑖 + 3 2) Standard(s): N-CN.A.3 Source: https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers/complex-conjugates-and-dividing-complexnumbers/e/find-conjugates-of-complex-numbers Item Prompt: Correct Answer: